![Essentials of Statistics (5th Edition)](https://www.bartleby.com/isbn_cover_images/9780321924599/9780321924599_largeCoverImage.gif)
Using the Central Limit Theorem. In Exercises 5–10, use this information about the overhead reach distances of adult females: μ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are
7. a. If 1 adult female is randomly selected, find the
b. If 9 adult females are randomly selected, find the probability that they have a
c. Why can the normal distribution be used in part (b), even though the
![Check Mark](/static/check-mark.png)
Trending nowThis is a popular solution!
![Blurred answer](/static/blurred-answer.jpg)
Chapter 6 Solutions
Essentials of Statistics (5th Edition)
- A researcher believes that the so-called “sugar high” is not real. He gathered 30 adolescents and recorded their activity level in the scale of 0 – 100 (0 = not active and 100 = super active). First, he recorded participants’ activity level before they consumed candy. After recording their pre-sugar activity level, the researcher gave out 5 Snickers bars to participants. Then, he recorded their post-sugar activity level. The average difference between post-sugar and pre-sugar activity level is 50 (i.e., the activity levels are higher after sugar than prior to it) with a standard deviation of 10. A). What is the type of test you will use? (z-test, single-sample t-test, paired-samples t-test, or independent samples t-test) and why (what information provided in the problem)B). What are the hypotheses (Be Specific)arrow_forwardA researcher believes that the so-called “sugar high” is not real. He gathered 30 adolescents and recorded their activity level in the scale of 0 – 100 (0 = not active and 100 = super active). First, he recorded participants’ activity level before they consumed candy. After recording their pre-sugar activity level, the researcher gave out 5 Snickers bars to participants. Then, he recorded their post-sugar activity level. The average difference between post-sugar and pre-sugar activity level is 50 (i.e., the activity levels are higher after sugar than prior to it) with a standard deviation of 10. A). Complete test statistic and critical values B). Conclusionarrow_forwardFor Exercises 7–10, (a) compute the arithmetic mean and (b) indicate whether it is a 7. There are 10 salespeople employed by Midtown Ford. The number of new cars statistic or a parameter. Sold last month by the respective salespeople were: 15, 23, 4, 19, 18, 10, 10, 0 28, 19. Dve order company counted the number of incoming calls per day to the compa- Ivs toll-free number during the first 7 days in May: 14, 24, 19, 31, 36, 26, 17.arrow_forward
- D. P(pass/morning) = 0.28 P(pass/afternoon) = 0.53 Conclussion: A student taking the test in the morning has a greater chance of passing it than a student taking it in the afternoon.arrow_forwardThe American Mineralogist (Oct. 2009) published a study of the evolution of uranium minerals in the Earth's crust. Researchers estimate that the trace amount of uranium x in reservoirs follows a uniform distribution ranging between 1 and 3 parts per million. Complete parts a through c. a. Find E(x) and interpret its value. Select the correct answer below and fill in the answer box to complete your choice. (Simplify your answer.) O A. E(X)= This value gives the minimum parts per million of uranium for the collection of all reservoirs on the Earth. O B. E(X)= This value gives the maximum parts per million of uranium for the collection of all reservoirs on the Earth. O C. E(x)= This value gives the mean parts per million of uranium for the collection of all reservoirs on the Earth. O D. E(X)= This value gives the mean parts per million of uranium in each reservoir on the Earth.arrow_forwardP Do Homework Section 64 - Google Chrome mathxl.com/Student/PlayerHomework.aspx?homeworkld%3D587793988&questionld%3D1&flushed%=false&cld%3D635961... Math 1103-4 Spring 2021 Homework: Section 6.4 Save Score: 0 of 1 pt 4 of 4 (0 complete) HW Score: 0%, 0 of 4 pts 6.4.18-T Question Help ▼ A boat capsized and sank in a lake. Based on an assumption of a mean weight of 131 lb, the boat was rated to carry 60 passengers (so the load limit was 7,860 lb). After the boat sank, the assumed mean weight for similar boats was changed from 131 lb to 171 Ib. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 177.4 lb and a standard deviation of 39.3 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 131 lb. The probability is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check…arrow_forward
- Section 5.1: Normal Distributions X~ N(center, st.dev.) Example 1: Find the specified areas for a standard normal density. The area below z = 0.8 The area above = 1.2 c. The area between z = -1 and z = 2arrow_forwardPart A: Calcium is the most abundant and one of the most important minerals in the body. The recommended daily allowance (RDA) of calcium for adults is 800mg. A nutritionist thinks that the average person with an income below the poverty level gets less than the RDA of 800 mg. To test her claim she obtains the daily intakes of calcium for a random sample of 35 people with incomes below the poverty level. The mean of this sample is 747.3 mg and the standard deviation is 262.2 mg. Hypotheses Critical Value(s) and Rejection Region(s) Test Statistic Conclusion Part B: At a 5 % significance level, is there sufficient evidence to conclude that the mean calcium intake of all people with incomes below the poverty level is less than RDA of 800 mg per day?a) State the null and alternative hypotheses. b) Compute the value of the test statistic. c) Determine the P-value. d) State the conclusion in words.arrow_forwardcalculate d and e with good working outs ...arrow_forward
- I roll two dice and observe two numbers X and Y. a. Find Rx, Ry and the PMFS of X and Y. b. Find P(X = 2, Y = 6). c. Find P(X > 3|Y = 2). d. Let Z = X+Y. Find the range and PMF of Z. e. Find P(X = 4|Z = 8). |3| %3Darrow_forwardSolve c and d showing all workings and using the t distribution tablearrow_forward2. Solve for the mode, given the frequency distribution: Scores in Algebra 75-79 2 Mahematios in the Modem World 70-74 65-69 60-64 55-59 8. 12 50-54 45-49 7. 10 40-44 8 N 60arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
![Text book image](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)